Pure Logic: Or, the Logic of Quality Apart From Quantity; With Remarks On ...
Pure Logic: Or, the Logic of Quality Apart From Quantity; With Remarks On ...
Jevons, William Stanley, 1835-1882
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47 118. To express a we have Other in- a=aBc + abC + abc, f"^"^^' but observing that none of Be, bC, be, occur with A, so that Bc=aBc, 6C=aftC, ic=aftc, we sub- stitute these simpler terms, eliminating a ; whence asszBc+bC+bCj an evident truth (§ 113). 119. Similarly, we may draw any of the follow- Other in- ing inferences:— ^'^''''''' A=ABC=AB=AC B=AC+aBc C=AB+a6C c=dB'\-abc::^ac aB=Bc aC=6C a6=a^C-t-a5c=a5 (no inference) ac^aBc-j-abc^ac (no inference). 120. Observe that since B and C are same...ly Relation of related to A, we may get any inference concerning ■" ^^^ ^' one of these terms from the similar inference con- cerning the other by interchanging B and C, ft and c (§ 56). Before proceeding to further examples of in- direct inference, we may make the following observations. 121. When any term appears on both sides of a Excluded premise, as A in AB = AC, any combination con- *^^*^^*- taining its contrary, a, is an excluded subject. Thus, in combining any term with both sides of a proposition, we render any contrary of the term an excluded subject.
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